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# How to Calculate and Solve for Diffusion Coefficients | Diffusion in Alloying

Last Updated on January 12, 2023

The image above represents diffusion coefficients.

To compute for diffusion coefficients, four essential parameters are needed and these parameters are Diffusion Coefficient (D1), Time for Diffusion (t1), Diffusion Coefficient (D2and Time for Diffusion (t2).

The formula for calculating for diffusion coefficient, D1:

D1 = D2t2/t1

Where:

D1 = Diffusion Coefficient 1
D2 = diffusion coefficient 2
t1 = Time for Diffusion 1
t2 = time for diffusion 2

Given an example;
Find the diffusion coefficient 1 when the diffusion coefficient 2 is 4, the time for diffusion 1 is 8 and the time for diffusion is 10.

This implies that;

D2 = diffusion coefficient 2 = 4
t1 = Time for Diffusion 1 = 8
t2 = time for diffusion 2 = 10

D1 = D2t2/t1
D1 = (8)(10)/(4)
D1 = (80)/(4)
D1 = 20

Therefore, the diffusion coefficient 1 is 20 g/mol.

Calculating the Diffusion Coefficient 2 when the Diffusion Coefficient 1, the Time for Diffusion 1 and the Time for Diffusion 2 is Given.

D2 = D1 x t1 / t2

Where:

D2 = diffusion coefficient 2
D1 = Diffusion Coefficient 1
t1 = Time for Diffusion 1
t2 = time for diffusion 2

Given an example;
Find the diffusion coefficient 2 when the diffusion coefficient 1 is 10, the time for diffusion 1 is 2 and the time for diffusion 2 is 5.

This implies that;

D1 = Diffusion Coefficient 1 = 10
t1 = Time for Diffusion 1 = 2
t2 = time for diffusion 2 = 5

D2 = D1 x t1 / t2
D2 = 10 x 2 / 5
D2 = 20 / 5
D2 = 4

Therefore, the diffusion coefficient 2 is 4 g/mol.

Calculating the Time for Diffusion 1 when the Diffusion Coefficient 1, the Diffusion Coefficient 2 and the Time for Diffusion 2 is Given.

t1 = D2 x t2 / D1

Where:

t1 = Time for Diffusion 1
D1 = Diffusion Coefficient 1
D2 = diffusion coefficient 2
t2 = time for diffusion 2

Let’s solve an example;
Find the time for diffusion 1 when the diffusion coefficient 1 is 10, the diffusion coefficient 2 is 8 and the time for diffusion 2 is 4.

This implies that;

D1 = Diffusion Coefficient 1 = 10
D2 = diffusion coefficient 2 = 8
t2 = time for diffusion 2 = 4

t1 = D2 x t2 / D1
t1 = 8 x 4 / 10
t1 = 32 / 10
t1 = 3.2

Therefore, the time for diffusion 1 is 3.2.

Calculating the Time for Diffusion 2 when the Diffusion Coefficient 1, the Diffusion Coefficient 2 and the Time for Diffusion 1 is Given.

t2 = D1 x t1 / D2

Where:

t2 = time for diffusion 2
D1 = Diffusion Coefficient 1
D2 = diffusion coefficient 2
t1 = Time for Diffusion 1

Let’s solve an example;
Find the time for diffusion 2 when the diffusion coefficient 1 is 8, the diffusion coefficient 2 is 12 and the time for diffusion is 6.

This implies that;

D1 = Diffusion Coefficient 1 = 8
D2 = diffusion coefficient 2 = 12
t1 = Time for Diffusion 1 = 6

t2 = D1 x t1 / D2
t2 = 8 x 6 / 12
t2 = 48 / 12
t2 = 4

Therefore, the time for diffusion 2 is 4.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the diffusion coefficients.

To get the answer and workings of the diffusion coefficients using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

You can also try the demo version via https://www.nickzom.org/calculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Diffusion In Alloying under Materials and Metallurgical

Now, Click on Diffusion Coefficients under Diffusion In Alloying

The screenshot below displays the page or activity to enter your values, to get the answer for the diffusion coefficients according to the respective parameters which are the Diffusion Coefficient (D1), Time for Diffusion (t1), Diffusion Coefficient (D2and Time for Diffusion (t2).

Now, enter the values appropriately and accordingly for the parameters as required by the Time for Diffusion (t1) is 4, Diffusion Coefficient (D2) is 8 and Time for Diffusion (t2) is 10.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the diffusion coefficients and presents the formula, workings and steps too.